There’s no evidence that JFK ever said that he wanted to break up the CIA. That’s a claim Fletcher Prouty made 30 years after Kennedy’s death.
Seems tough to nail anything down, true or not. Know how to access the NYT's achieve?
"The first attribution of this quote to President Kennedy comes from a story in the April 25, 1966 edition of the New York Times.
So did Kennedy say it? Possibly. The only attribution we have is an anonymous source from the Kennedy administration by a New York Times reporter three years after Kennedy was assassinated. Ive found no record that pre-dates 1966. Its not exactly like he said it in a public speech or even to a reporter directly."
https://paleofuture.gizmodo.com/the-story-behind-that-jfk-quote-about-destroying-the-ci-1793151211